{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Manifold Learning: t-SNE and UMAP for Equity Return"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook explores how [t-SNE](https://lvdmaaten.github.io/tsne/) and UMAP perform on equity returns."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports & Settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:26:00.239585Z",
     "start_time": "2018-12-27T18:26:00.235997Z"
    },
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "from pathlib import Path\n",
    "from os.path import join\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from numpy.random import choice, randint, uniform, randn\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import ipyvolume as ipv\n",
    "from sklearn.datasets import fetch_openml, make_swiss_roll, make_blobs\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.manifold import TSNE\n",
    "import umap\n",
    "from plotly.offline import init_notebook_mode, iplot\n",
    "from plotly.graph_objs import *\n",
    "import colorlover as cl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:19:42.159213Z",
     "start_time": "2018-12-27T18:19:42.155736Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "plt.style.use('ggplot')\n",
    "pd.options.display.float_format = '{:,.2f}'.format"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load equity returns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:19:48.423049Z",
     "start_time": "2018-12-27T18:19:42.160346Z"
    }
   },
   "outputs": [],
   "source": [
    "idx = pd.IndexSlice\n",
    "with pd.HDFStore('../../data/assets.h5') as store:\n",
    "    returns = (store['quandl/wiki/prices']\n",
    "               .loc[idx['2000':'2018', :], 'adj_close']\n",
    "               .unstack('ticker')\n",
    "               .resample('W')\n",
    "               .last()\n",
    "               .pct_change())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:19:48.534046Z",
     "start_time": "2018-12-27T18:19:48.424761Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 951 entries, 2000-01-16 to 2018-04-01\n",
      "Freq: W-SUN\n",
      "Columns: 1890 entries, A to ZQK\n",
      "dtypes: float64(1890)\n",
      "memory usage: 13.7 MB\n"
     ]
    }
   ],
   "source": [
    "returns = returns.dropna(thresh=int(returns.shape[0] * .95), axis=1)\n",
    "returns = returns.dropna(thresh=int(returns.shape[1] * .95))\n",
    "returns.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:19:49.017871Z",
     "start_time": "2018-12-27T18:19:48.535869Z"
    }
   },
   "outputs": [],
   "source": [
    "returns = returns.sample(n=250)\n",
    "daily_avg = returns.mean(1)\n",
    "returns = returns.apply(lambda x: x.fillna(daily_avg))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:19:49.020500Z",
     "start_time": "2018-12-27T18:19:49.018831Z"
    }
   },
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## T-Stochastic Neighbor Embedding (TSNE): Parameter Settings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "### Perplexity: emphasis on local vs global structure"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:20:01.477625Z",
     "start_time": "2018-12-27T18:19:49.021432Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(14,8))\n",
    "axes = axes.flatten()\n",
    "\n",
    "axes[0].scatter(*pca.fit_transform(returns).T, s=10)\n",
    "axes[0].set_title('PCA')\n",
    "axes[0].axis('off')\n",
    "\n",
    "for i, p in enumerate([2,10, 20, 30, 50], 1):\n",
    "    embedding = TSNE(perplexity=p, n_iter=5000).fit_transform(returns)\n",
    "    axes[i].scatter(embedding[:, 0], embedding[:, 1], s=10)\n",
    "    axes[i].set_title('Perplexity: {:.0f}'.format(p))\n",
    "    axes[i].axis('off')\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Convergence with `n_iter`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:20:11.087012Z",
     "start_time": "2018-12-27T18:20:01.478695Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(14, 8))\n",
    "axes = axes.flatten()\n",
    "axes[0].scatter(*pca.fit_transform(returns).T, s=10)\n",
    "axes[0].set_title('PCA')\n",
    "axes[0].axis('off')\n",
    "\n",
    "for i, n in enumerate([250, 500, 1000, 2500, 5000], 1):\n",
    "    embedding=TSNE(perplexity=30, n_iter=n).fit_transform(returns)\n",
    "    axes[i].scatter(embedding[:, 0], embedding[:, 1], s=10)\n",
    "    axes[i].set_title('Iterations: {:,.0f}'.format(n))\n",
    "    axes[i].axis('off')\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Uniform Manifold Approximation and Projection (UMAP): Parameter Settings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "### Neighbors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:20:18.193222Z",
     "start_time": "2018-12-27T18:20:11.088466Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/stefan/.pyenv/versions/miniconda3-latest/envs/ml4t/lib/python3.7/site-packages/umap/spectral.py:229: UserWarning:\n",
      "\n",
      "Embedding a total of 3 separate connected components using meta-embedding (experimental)\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(14,8))\n",
    "axes = axes.flatten()\n",
    "\n",
    "axes[0].scatter(*pca.fit_transform(returns).T, s=10)\n",
    "axes[0].set_title('PCA')\n",
    "axes[0].axis('off')\n",
    "for i, n in enumerate([2,10, 20, 30, 50], 1):\n",
    "    embedding = umap.UMAP(n_neighbors=n, min_dist=0.1).fit_transform(returns)    \n",
    "    axes[i].scatter(embedding[:, 0], embedding[:, 1], s=10)\n",
    "    axes[i].set_title('Neighbors: {:.0f}'.format(n))\n",
    "    axes[i].axis('off')\n",
    "fig.tight_layout()  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Minimum Distance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2018-12-27T18:20:21.977899Z",
     "start_time": "2018-12-27T18:20:18.194419Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(nrows=2, ncols=3, figsize=(14,8))\n",
    "axes = axes.flatten()\n",
    "\n",
    "axes[0].scatter(*pca.fit_transform(returns).T, s=10)\n",
    "axes[0].set_title('PCA')\n",
    "axes[0].axis('off')\n",
    "\n",
    "for i, d in enumerate([.001, .01, .1, .2, .5], 1):\n",
    "    embedding = umap.UMAP(n_neighbors=30, min_dist=d).fit_transform(returns)\n",
    "    axes[i].scatter(embedding[:, 0], embedding[:, 1], s=10)\n",
    "    axes[i].set_title('Min. Distance: {:.3f}'.format(d))\n",
    "    axes[i].axis('off')\n",
    "fig.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Slideshow",
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
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 "nbformat": 4,
 "nbformat_minor": 1
}
